FLOER HOMOLOGY OF LAGRANGIAN SUBMANIFOLDS

摘要

This paper is a survey of Floer theory, which the author has been studying jointly with Y. -G. Oh, H. Ohta, and K. Ono. A general idea of the construction is outlined. We also discuss its relation to (homological) mirror symmetry. Especially we describe various conjectures on (homological) mirror symmetry and various partial results towards those conjectures.